Consider the initial value problem (IVP) \(\rm y'(x)=\frac{\sin(y(x))}{1+y^4(x)}\), x ∈ ℝ, y(0) = y0
Then which of the following statements are true?
1
There is a positive y0 such that the solution of the IVP is unbounded
2
There is a negative y0 such that the solution of the IVP is bounded
3
For every y0 ∈ ℝ, every solution of the IVP is bounded
4
For every y0 ∈ ℝ, there is a solution to the IVP for all x ∈ ℝ